from plot_curve import PlotCurve
from plot_surface import PlotSurface
from util import scale_value

from sympy import pi, lambdify
from sympy.functions import sin, cos
from math import sin as p_sin
from math import cos as p_cos

def float_vec3(f):
    def inner(*args):
        v = f(*args)
        return float(v[0]), float(v[1]), float(v[2])
    return inner

class Cartesian2D(PlotCurve):
    i_vars, d_vars = 'x', 'y'
    intervals = [[-5,5,100]]
    aliases = ['cartesian']
    is_default = True
    
    def _get_sympy_evaluator(self):
        fy = self.d_vars[0]
        x  = self.t_interval.v
        @float_vec3
        def e(_x):
            return ( _x, fy.subs(x, _x), 0.0 )
        return e

    def _get_lambda_evaluator(self):
        fy = self.d_vars[0]
        x  = self.t_interval.v
        return lambdify([x, fy, 0.0], [x])

class Cartesian3D(PlotSurface):
    i_vars, d_vars = 'xy', 'z'
    intervals = [[-1,1,40], [-1,1,40]]
    aliases = ['cartesian', 'monge']
    is_default = True
    
    def _get_sympy_evaluator(self):
        fz = self.d_vars[0]
        x  = self.u_interval.v
        y  = self.v_interval.v
        @float_vec3
        def e(_x, _y):
            return ( _x, _y, fz.subs(x, _x).subs(y, _y) )
        return e

    def _get_lambda_evaluator(self):
        fz = self.d_vars[0]
        x  = self.u_interval.v
        y  = self.v_interval.v
        return lambdify([x,y,fz], [x,y])

class ParametricCurve2D(PlotCurve):
    i_vars, d_vars = 't', 'xy'
    intervals = [[0,2*pi,100]]
    aliases = ['parametric']
    is_default = True

    def _get_sympy_evaluator(self):
        fx, fy = self.d_vars
        t  = self.t_interval.v
        @float_vec3
        def e(_t):
            return ( fx.subs(t, _t),
                     fy.subs(t, _t),
                     0.0 )
        return e

    def _get_lambda_evaluator(self):
        fx, fy = self.d_vars
        t  = self.t_interval.v
        return lambdify([fx,fy,0.0], [t])

class ParametricCurve3D(PlotCurve):
    i_vars, d_vars = 't', 'xyz'
    intervals = [[0,2*pi,100]]
    aliases = ['parametric']
    is_default = True

    def _get_sympy_evaluator(self):
        fx, fy, fz = self.d_vars
        t  = self.t_interval.v
        @float_vec3
        def e(_t):
            return ( fx.subs(t, _t),
                     fy.subs(t, _t),
                     fz.subs(t, _t) )
        return e

    def _get_lambda_evaluator(self):
        fx, fy, fz = self.d_vars
        t  = self.t_interval.v
        return lambdify([fx,fy,fz], [t])

class ParametricSurface(PlotSurface):
    i_vars, d_vars = 'uv', 'xyz'
    intervals = [[-1,1,40], [-1,1,40]]
    aliases = ['parametric']
    is_default = True

    def _get_sympy_evaluator(self):
        fx, fy, fz = self.d_vars
        u  = self.u_interval.v
        v  = self.v_interval.v
        @float_vec3
        def e(_u, _v):
            return ( fx.subs(u, _u).subs(v, _v),
                     fy.subs(u, _u).subs(v, _v),
                     fz.subs(u, _u).subs(v, _v) )
        return e

    def _get_lambda_evaluator(self):
        fx, fy, fz = self.d_vars
        u  = self.u_interval.v
        v  = self.v_interval.v
        return lambdify([fx, fy, fz], [u,v])

class Polar(PlotCurve):
    i_vars, d_vars = 't', 'r'
    intervals = [[0,2*pi,100]]
    aliases = ['polar']
    is_default = False

    def _get_sympy_evaluator(self):
        fr = self.d_vars[0]
        t  = self.t_interval.v
        def e(_t):
            _r = float( fr.subs(t, _t) )
            return ( _r*p_cos(_t), _r*p_sin(_t), 0.0 )
        return e

    def _get_lambda_evaluator(self):
        fr = self.d_vars[0]
        t  = self.t_interval.v
        fx, fy = fr*cos(t), fr*sin(t)
        return lambdify([fx,fy,0.0], [t])

class Cylindrical(PlotSurface):
    i_vars, d_vars = 'th', 'r'
    intervals = [[0,2*pi,40], [-1,1,20]]
    aliases = ['cylindrical', 'polar']
    is_default = False

    def _get_sympy_evaluator(self):
        fr = self.d_vars[0]
        t  = self.u_interval.v
        h  = self.v_interval.v
        def e(_t, _h):
            _r = float( fr.subs(t, _t).subs(h, _h) )
            return ( _r*p_cos(_t), _r*p_sin(_t), _h )
        return e

    def _get_lambda_evaluator(self):
        fr = self.d_vars[0]
        t  = self.u_interval.v
        h  = self.v_interval.v
        fx, fy = fr*cos(t), fr*sin(t)
        return lambdify([fx,fy,h], [t,h])

class Spherical(PlotSurface):
    i_vars, d_vars = 'tp', 'r'
    intervals = [[0,2*pi,40], [0,pi,20]]
    aliases = ['spherical']
    is_default = False

    def _get_sympy_evaluator(self):
        fr = self.d_vars[0]
        t  = self.u_interval.v
        p  = self.v_interval.v
        def e(_t, _p):
            _r = float( fr.subs(t, _t).subs(p, _p) )
            return ( _r*p_cos(_t)*p_sin(_p),
                     _r*p_sin(_t)*p_sin(_p),
                     _r*p_cos(_p) )
        return e

    def _get_lambda_evaluator(self):
        fr = self.d_vars[0]
        t  = self.u_interval.v
        p  = self.v_interval.v
        fx = fr*cos(t)*sin(p)
        fy = fr*sin(t)*sin(p)
        fz = fr*cos(p)
        return lambdify([fx,fy,fz], [t,p])

Cartesian2D._register()
Cartesian3D._register()
ParametricCurve2D._register()
ParametricCurve3D._register()
ParametricSurface._register()
Polar._register()
Cylindrical._register()
Spherical._register()
